<h2>Problem 6</h2>
<div style="color:#666;font-size:80%;">14 December 2001</div><br />
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<p>The sum of the squares of the first ten natural numbers is,</p>
<div style="text-align:center">1<img src="" style="display:none;" alt="^(" /><sup>2</sup><img src="" style="display:none;" alt=")" /> + 2<img src="" style="display:none;" alt="^(" /><sup>2</sup><img src="" style="display:none;" alt=")" /> + ... + 10<img src="" style="display:none;" alt="^(" /><sup>2</sup><img src="" style="display:none;" alt=")" /> = 385</div>
<p>The square of the sum of the first ten natural numbers is,</p>
<div style="text-align:center">(1 + 2 + ... + 10)<img src="" style="display:none;" alt="^(" /><sup>2</sup><img src="" style="display:none;" alt=")" /> = 55<img src="" style="display:none;" alt="^(" /><sup>2</sup><img src="" style="display:none;" alt=")" /> = 3025</div>
<p>Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 <img src='images/symbol_minus.gif' width='9' height='3' alt='&minus;' border='0' style='vertical-align:middle;' /> 385 = 2640.</p>
<p>Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.</p>

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